陕西理工学院课程设计基于MATLAB的FIR数字低通滤波器设计作者:周龙刚(陕西理工学院物理与电信工程学院通信工程专业2011级4班,陕西汉中723003)指导老师:井敏英[摘要]FIR数字滤波器是数字信号处理的一个重要组成部分,由于FIR数字滤波器具有严格的线性相位,因此在信息的采集和处理过程中得到了广泛的应用。本文介绍了FIR数字滤波器的概念和线性相位的条件,分析了窗函数法、频率采样法和等波纹逼近法设计FIR滤波器的思路和流程。在分析三种设计方法原理的基础上,借助Matlab仿真软件工具箱中的fir1实现窗函数法中的哈明窗设计FIR低通滤波器。[关键词]FIR数字滤波器;线性相位窗函数;法哈明窗;MatlabDesigningFIRlow-passdigitalfilterbasedonVHDLZhoulonggang(Grade11,Class4,MajorofCommunicationEngineering,SchoolofPhysicsandTelecommunicationEngineering,ShaanxiUniversityofTechnology,Hanzhong723003,Shaanxi)Tutor:JingYingMinAbstract:FIRdigitalfilterisanimportantpartofdigitalsignalprocessing,theFIRdigitalfilterwithlinearphase,soithasbeenwidelyappliedinthecollectionandprocessingofinformationinthecourseof.ThispaperintroducestheconceptofFIRdigitalfilterwithlinearphaseconditions,analysisofthewindowfunctionmethodandfrequencysamplingmethodandtherippleapproximationmethodofFIRfilterdesignideasandprocesses.Basedonanalyzingtheprincipleofthreekindsofdesignmethod,usingMatlabsimulationsoftwarefir1toolboxindesignandimplementationofFIRHammingwindowwindowfunctionmethodinthelowpassfilter.Keywords:FIRdigitalfilter,linearphase,thewindowfunctionmethod,Hammingwindow,Matlab目录陕西理工学院课程设计引言..............................................................................................................................................................11.基本原理.....................................................................................................................................................11.1FIR数字滤波器概述............................................................................................................................11.2FIR数字滤波器线性相位定义........................................................................................................21.3FIR数字滤波器线性相位时域条件................................................................................................22.系统设计.....................................................................................................................................................32.1FIR数字滤波器的窗函数设计方法................................................................................................32.1.1窗函数法的设计思路............................................................................................................32.1.2常见窗函数介绍....................................................................................................................42.1.3吉布斯效应............................................................................................................................62.2FIR数字滤波器频率采样设计法...................................................................................................62.3FIR数字滤波器等波纹逼近设计法................................................................................................73详细设计......................................................................................................................................................83.1程序设计流程.............................